(Q12)Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients x2-2x-8.

Answer:

Given polynomial is x2-2x-8

where have x2-2x-8=x2- x+2x-8

=x(x-)+2(x-)

(x - )(x+2)

so, the value of x2-2x-8 is zero

when x - =0 or x+2=0

when x= or x=-2

So,the zeros of x2-2x-8 are and -2

Sum of the zeros=-2=

Sum of Zeros = 4 - (-)

= -
coefficient of x
coefficient of x2
 =
-(-)
1
=

And product of the zeros =×(-2)= -

=
constant term
coefficient of x2
=
-
1
 = -